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Finding the Fourth Proportional to 25,997.78, 39,003.12 and 7,529.78

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Solution

The fourth proportional to 25,997.78, 39,003.12 and 7,529.78 is: 11,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.78 : 39,003.12 = 7,529.78 : x
  2. Step 2: Convert to fraction form
    25,997.78/39,003.12 = 7,529.78/x
  3. Step 3: Cross multiply
    25,997.78x = 39,003.12 × 7,529.78
  4. Step 4: Simplify right side
    25,997.78x = 293,684,912.91
  5. Step 5: Solve for x
    x = 293,684,912.91/25,997.78
  6. Step 6: Final answer
    x = 11,296.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.